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Variants of an explicit kernel-split panel-based Nyström discretization scheme for Helmholtz boundary value problems

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Author

Summary, in English

The incorporation of analytical kernel information is exploited in the construction of Nyström discretization schemes for integral equations modeling planar Helmholtz boundary value problems. Splittings of kernels and matrices, coarse and fine grids, high-order polynomial interpolation, product integration performed on the fly, and iterative solution are some of the numerical techniques used to seek rapid and stable convergence of computed fields in the entire computational domain.

Department/s

Publishing year

2015

Language

English

Pages

691-708

Publication/Series

Advances in Computational Mathematics

Volume

41

Issue

3

Document type

Journal article

Publisher

Springer

Topic

  • Computational Mathematics

Keywords

  • high-order quadrature
  • singular kernel
  • Helmholtz equation
  • Nyström discretization
  • integral equation

Status

Published

Research group

  • Harmonic Analysis and Applications
  • Partial differential equations
  • Harmonic Analysis and Applications

ISBN/ISSN/Other

  • ISSN: 1019-7168